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Finding the Fourth Proportional to 65,702.17, 90,669.08 and 37,407.85

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Solution

The fourth proportional to 65,702.17, 90,669.08 and 37,407.85 is: 51,622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,702.17 : 90,669.08 = 37,407.85 : x
  2. Step 2: Convert to fraction form
    65,702.17/90,669.08 = 37,407.85/x
  3. Step 3: Cross multiply
    65,702.17x = 90,669.08 × 37,407.85
  4. Step 4: Simplify right side
    65,702.17x = 3,391,735,344.28
  5. Step 5: Solve for x
    x = 3,391,735,344.28/65,702.17
  6. Step 6: Final answer
    x = 51,622.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.